Authors:
Daniel E. Miller,
Tongwen Chen,
Volume: 1, Page 2722 Paper number 1560
Abstract:
In this paper we consider the use of linear periodically time-varying
(LPTV) controllers for simultaneous stabilization and disturbance rejection.
Here we consider the case in which the control signal does not appear
directly in the output to be controlled and the disturbance does not
appear directly in the measured output. We prove that for every finite
set of such plants for which the high frequency gains (from the control
signal to the measured output) satisfy a linear independence condition,
we can design an LPTV controller which provides not only closed-loop
stability, but also near optimal disturbance rejection in the H-infinity
sense.
Authors:
Haitham M.H. El-Zobaidi,
Imad M. Jaimoukha,
David J.N. Limebeer,
Volume: 1, Page 2728 Paper number 1276
Abstract:
This paper describes an approach to the reduction of controllers for
the normalized coprime factor robustness problem as well as the normalized
H_(infinity) problem. It is shown that a relative error approximation
of a coprime factor representation of any suboptimal controller leads
to a stability guarantee and an upper bound on the performance degradation
when the reduced order controller is implemented. When the approximation
is performed on the controller generator, guaranteed a priori stability
and performance bounds are obtained in terms of the synthesis Riccati
equation solutions of the normalized H_(infinity) control problems.
Authors:
Takao Watanabe,
Anton A. Stoorvogel,
Volume: 1, Page 2734 Paper number 2059
Abstract:
A new class of reduced-order controllers is obtained for the H_(infinity)
problem. The reduced-order controller does not compromise the performance
attained by the full-order controller. An algorithm for deriving the
reduced-order H_(infinity) controller is presented in the case of continuous
time. The reduction in order is related to unstable invariant zeros
of the subsystem from disturbance inputs to measurement outputs. In
the case where the subsystem has no infinite zeros, the resulting order
of the H_(infinity) controller is lower than that of the existing reduced-order
H_(infinity) controller designs which are based on reduced-order observer
design. Furthermore, the mechanism of the controller order reduction
is analyzed on the basis of the two-Riccati equation approach.
Authors:
Birgitta Kristiansson,
Bengt Lennartson,
Carl-Magnus Fransson,
Volume: 1, Page 2740 Paper number 2134
Abstract:
Based on a recently presented evaluation method, tuning rules are introduced
and compared for a series of PID related controllers. For all of them,
the integral gain and the high frequency gain (the parameters in a
PI controller), are used as the main tuning parameters. As these directly
correspond to well known properties of a control system, they are easy
to handle for an operator. It is also shown that a well tuned PID controller
augmented by a low pass filter, to increase the roll off rate, is quite
competitive to a PID weighted H-inf controller, and superior to the
common PI weighted H-inf controller.
Authors:
Massimiliano Mattei,
Volume: 1, Page 2746 Paper number 9071
Abstract:
This note deals with the solution of a particular class of Bilinear
Matrix Inequalities arising in the synthesis of H-infinity fixed-order
controllers. It is well known that BMI optimisation problems are non
convex and NP hard to solve. In this paper sufficient conditions are
provided which allow to convert the controller design problem into
a Linear Matrix Inequality feasibility problem.
Authors:
Xin Xin,
Volume: 1, Page 2748 Paper number 1543
Abstract:
The reduced-order controllers for singular H-infinity control problems
with infinite zeros are studied via ARE (Algebraic Riccati Equation)
approach in this paper. First, we analyze the relation between
the eigenstructure corresponding to the infinite zeros and the parameterization
of H-infinity controllers given in the descriptor form. Next, we propose
a method to choose appropriately the free parameter in the parameterization
for constructing the H-infinity controllers whose orders equal to
the size of a reduced-order ARE involved in solvability conditions
of the singular H-infinity control problems. The parameterization
of the reduced-order H-infinity controllers is also discussed.
Authors:
Li Yu,
Furong Gao,
Volume: 1, Page 2754 Paper number 1056
Abstract:
The robust H_(infinity) control problem is considered in this paper
for discrete-time linear systems with delayed state and subject to
Frobenius norm-bounded parameter uncertainties, and attention is focused
on the design of memoryless state feedback controllers. A design procedure
for the robust H_(infinity) controllers is developed based on the linear
matrix inequality (LMI) approach.
|